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Finding the Fourth Proportional to 910.94, 1,366.13 and 325.85

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Solution

The fourth proportional to 910.94, 1,366.13 and 325.85 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.94 : 1,366.13 = 325.85 : x
  2. Step 2: Convert to fraction form
    910.94/1,366.13 = 325.85/x
  3. Step 3: Cross multiply
    910.94x = 1,366.13 × 325.85
  4. Step 4: Simplify right side
    910.94x = 445,147.44
  5. Step 5: Solve for x
    x = 445,147.44/910.94
  6. Step 6: Final answer
    x = 488.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.